What is the Greatest Common Factor of 67792 and 67801?

Greatest common factor (GCF) of 67792 and 67801 is 1.

GCF(67792,67801) = 1

We will now calculate the prime factors of 67792 and 67801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67792 and 67801.

How to find the GCF of 67792 and 67801?

We will first find the prime factorization of 67792 and 67801. After we will calculate the factors of 67792 and 67801 and find the biggest common factor number .

Step-1: Prime Factorization of 67792

Prime factors of 67792 are 2, 19, 223. Prime factorization of 67792 in exponential form is:

67792 = 2⁴ × 19¹ × 223¹

Step-2: Prime Factorization of 67801

Prime factors of 67801 are 67801. Prime factorization of 67801 in exponential form is:

67801 = 67801¹

Step-3: Factors of 67792

List of positive integer factors of 67792 that divides 67792 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 223, 304, 446, 892, 1784, 3568, 4237, 8474, 16948, 33896

Step-4: Factors of 67801

List of positive integer factors of 67801 that divides 67792 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67792 and 67801. The biggest common factor number is the GCF number.
So the greatest common factor 67792 and 67801 is 1.

Also check out the Least Common Multiple of 67792 and 67801